Abstract
A general optimal iterative method, for approximating the solution of nonlinear equations, of (n+1) steps with 2n+1 order of convergence is presented. Cases n=0 and n=1 correspond to Newton’s and Ostrowski’s schemes, respectively. The basins of attraction of the proposed schemes on different test functions are analyzed and compared with the corresponding to other known methods. The dynamical planes showing the different symmetries of the basins of attraction of new and known methods are presented. The performance of different methods on some test functions is shown.
Funder
Ministerio de Ciencia, Innovación y Universidades
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference25 articles.
1. Advances in Iterative Methods for Nonlinear Equations;Amat,2017
2. Multipoint Methods for Solving Nonlinear Equations;Petković,2013
3. Solutions of Equations and Systems of Equations;Ostrowski,1966
4. Optimal Order of One-Point and Multipoint Iteration
5. A General Way to Construct a New Optimal Scheme with Eighth-Order Convergence for Nonlinear Equations
Cited by
11 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献